Sharp Deconvolution (SDec)

Sharp Deconvolution aims to extract atruesolution from a confidence domain.Relevant strategy exploits the followinga prioriinformation on the solution:the latter can be represented by aminimal numberof parameters (SharpDeconvolution),e.g. by a few spectral lines or a few points in a space/time, a few energies or a fewmoments, a few points from a phase space or from a phase diagrams, etc.Herewith an example from geophysical exploration is displayed:givenrecords of seismic pulse reflected by layered media and thus containingtraces of lots of reverberations including free-surface related ones,findtraces of single-reflected waves, assuming that the number of layers should be minimal *.

Sharp Deconvolution in Geophysics: Elimination of Multiples

SDec: testing on synthetic data

A.SDec: multiple attenuation for1D acoustic data(Robinson code *)

B.SDec: multiple attenuation for1.5 D seismic data(reflectivity code **)

Model1.Model2.(Elimination of intrabed multiples, i.e. nonlinear waveform inversion).SDec & MSvE: testing on r e a l data

Deep-sea data: elimination of peg-legs, decoding of multiples.

* Thanks to K.Osypov (Western Geophysical, Denver) who has supplied us with the code.** Thanks to D.Lokshtanov (Norsk Hydro, Bergen) who has been generating the blind data (Fig.1,1and Fig.2,1.) and displaying our results (Fig.1,2., Fig.1,3, Fig.2,2. and Fig.2,3.).Our thanks to Prof.Dirk Gajewski (University of Hamburg) who has provided us with reflectivity codes: our preliminary numerical experiments have been carried out with those ones.

References:

1. Biryulina, Marina and Ryzhikov, Gennady, 1998,

Non-Wiener Filter, or Sharp Deconvolution in Elimination of Multiples:60th Mtg. Eur. Assoc. Expl Geophys.,Extended Abstracts, 98, Session: 1-27

2. Ryzhikov, Gennady and Biryulina, Marina, 1998,

Sharp Deconvolution in Elimination of Multiples:68th Ann. Internat. Mtg. Soc. Expl. Geophys.,,Expanded Abstracts, ST-18.3pp. 1983-1986

3. Ryzhikov, Gennady and Biryulina, Marina, 1999,

Removal of intrabed multiples via Source-Signature Invariant Inversion,69th Ann. Internat. Mtg. Soc. Expl. Geophys.,Expanded Abstracts, SPRO 1

Геннадий Рыжиков